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Finding the Third Proportional to 75,798 and 178,603

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Solution

The third proportional to 75,798 and 178,603 is: 420,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,798 : 178,603 = 178,603 : x
  2. Step 2: Convert to fraction form
    75,798/178,603 = 178,603/x
  3. Step 3: Cross multiply
    75,798x = 178,603 × 178,603
  4. Step 4: Simplify right side
    75,798x = 31,899,031,609
  5. Step 5: Solve for x
    x = 31,899,031,609/75,798
  6. Step 6: Final answer
    x = 420,842.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.